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Finding the Fourth Proportional to 2,162.22, 2,979.72 and 1,497.84

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Solution

The fourth proportional to 2,162.22, 2,979.72 and 1,497.84 is: 2,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.22 : 2,979.72 = 1,497.84 : x
  2. Step 2: Convert to fraction form
    2,162.22/2,979.72 = 1,497.84/x
  3. Step 3: Cross multiply
    2,162.22x = 2,979.72 × 1,497.84
  4. Step 4: Simplify right side
    2,162.22x = 4,463,143.80
  5. Step 5: Solve for x
    x = 4,463,143.80/2,162.22
  6. Step 6: Final answer
    x = 2,064.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.